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In this work, we have considered industrial objects and livestock enterprises, which are located in an area of Smax. Some conditions and connections between them in the mathematical model are formulated newly, and the optimal equilibrium ratio states for the long-term existence of these objects are theoretically determined. Also, based on the mathematical models of the two objects, the optimal area ratio and values of the model were found
In this work, we performed a full analysis by considering two models related to the detection of the enemy’s front line and firing point, and these models are extensions of the search problems solved by John R. Isbell and B. Glass. To find the optimal solution, we used the concepts of extremal problem theory and plane geometry
In 1956, the journal of the American Mathematical Society [1] published a short article entitled "Lost at sea" which proposed 3 problems by the famous mathematician Richard E. Bellman. The first problem proposed by Richard E. Bellman was the theory to determine the pattern of the curve with the shortest length among all the search curves. The problem was solved by John R. Isbell in 1957 [2], and solved again by B. Glass in 1961 [3] by replacing the straight shore mainland with an island with radius S. Khaltar D. expanded and solve these problems in various ways in his works by connecting with nomadic, pastoralists and geological prospecting activities. In this work, we performed a full analysis by considering two models related to the detection of the enemy's front line and firing point, and these models are extensions of the search problems solved by John R. Isbell and B. Glass. To find the optimal solution, we used the concepts of extremal problem theory and plane geometry.
